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Finding the Third Proportional to 6,018.75 and 12,962.25

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Solution

The third proportional to 6,018.75 and 12,962.25 is: 27,916.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,018.75 : 12,962.25 = 12,962.25 : x
  2. Step 2: Convert to fraction form
    6,018.75/12,962.25 = 12,962.25/x
  3. Step 3: Cross multiply
    6,018.75x = 12,962.25 × 12,962.25
  4. Step 4: Simplify right side
    6,018.75x = 168,019,925.06
  5. Step 5: Solve for x
    x = 168,019,925.06/6,018.75
  6. Step 6: Final answer
    x = 27,916.08

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.